Take a pen and try and balance it in front of your face. Try the same with a plastic cup or bottle on your palm. Observe the small adjustments necessary to keep the object balanced.
Both of these benefit from the visual feedback. Imagine trying to perform the same tasks without looking- it would be nearly impossible!
Now try balancing on a single foot. Feel the same small adjustments being made, but realize that what is being balanced is your entire body through a single connection to the floor. We cannot directly observe the ankle without compromising our alignment, but we benefit from the visual feedback of the world around us.
Try filming each of your ankles in bare feet as you balance on one foot. Do the same after putting on your dancing shoes. What are the differences between the two experiences?